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120201012122000 = 245360100506061
BaseRepresentation
bin11011010101001001111010…
…101000010001000110010000
3120202121002211012112211210212
4123111021322220101012100
5111223333133100401000
61103351325504143252
734214144064060155
oct3325117250210620
9522532735484725
10120201012122000
1135332a65788677
1211593917907b28
13520bba333b6b4
142197a8d73622c
15dd6a868a2c35
hex6d527aa11190

120201012122000 has 40 divisors (see below), whose sum is σ = 290646047315832. Its totient is φ = 48080404848000.

The previous prime is 120201012121919. The next prime is 120201012122077. The reversal of 120201012122000 is 221210102021.

It can be written as a sum of positive squares in 4 ways, for example, as 7007329002496 + 113193683119504 = 2647136^2 + 10639252^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30050251031 + ... + 30050255030.

Almost surely, 2120201012122000 is an apocalyptic number.

120201012122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120201012122000 is an abundant number, since it is smaller than the sum of its proper divisors (170445035193832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120201012122000 is an equidigital number, since it uses as much as digits as its factorization.

120201012122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60100506084 (or 60100506068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120201012122000 its reverse (221210102021), we get a palindrome (120422222224021).

The spelling of 120201012122000 in words is "one hundred twenty trillion, two hundred one billion, twelve million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 60100506061 120201012122 240402024244 300502530305 480804048488 601005060610 961608096976 1202010121220 1502512651525 2404020242440 3005025303050 4808040484880 6010050606100 7512563257625 12020101212200 15025126515250 24040202424400 30050253030500 60100506061000 120201012122000